Aidan and Rick are drawing a map of the space used for a game of laser tag. Three of the four vertices of the space are shown in the coordinate plane. The fourth vertex is 7 units directly east of vertex A.Aidan says that the missing vertex should be at (9,3). Rick says Aidan is incorrect.Use the drop-down menus to show how Rick can explain to Aidan why he is incorrect.Click the arrows to choose an answer from each menu.The fourth vertex is east of (-2,3) , so the  is the same as in point A. To find the remaining coordinate, _.Aidan _ The fourth vertex is located at _

To explain why Aidan is incorrect, we need to accurately determine the coordinates of the fourth vertex based on the given information.

1. The fourth vertex is east of \(( - 2, 3) \), so the \(y\)-coordinate is the same as in point \(A\).
2. To find the remaining coordinate, add 7 to the \(x\)-coordinate of point \(A\).

Therefore:

• The \(y\)-coordinate remains 3.
• The \(x\)-coordinate is \(- 2 + 7 = 5\).
  So, the fourth vertex is located at \(( 5, 3) \).

Supplemental Knowledge

Coordinate geometry describes the position of points on a plane using an ordered pair of numbers (x and y). Moving directly east or west changes only the x-coordinate while keeping its values constant while heading directly north or south alters both coordinates simultaneously.

Practical Insights

Imagine being at home in a city grid where streets run east-west and avenues north-south; understanding how coordinates shift can help you navigate accurately and efficiently.

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